Asymptotic Representation of Solutions of Equation ˙y t.sb t.wy t.yy tyt t..x

In this paper the equation ˙y t.sb t.wy t.yy tyt t..x is considered where tgC Iy1,Rq., Iy1swty1,`., Rqs 0, `., tyt t.is an increasing function on Iy1, t t.Ft˜, tgIy1, 0-t˜sconst and b gC Iy1,Rq.. Results about asymptotic structure and behavior of the solutions of this equation are proved. A connection with the equation ˙x t.syc t.x tyt t.. and the asymptotic representation of its solutions is obtained